Finding the Third Proportional to 32,985 and 53,212.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,985 : 53,212.50 = 53,212.50 : x
2. Step 2: Convert to fraction form
   32,985/53,212.50 = 53,212.50/x
3. Step 3: Cross multiply
   32,985x = 53,212.50 × 53,212.50
4. Step 4: Simplify right side
   32,985x = 2,831,570,156.25
5. Step 5: Solve for x
   x = 2,831,570,156.25/32,985
6. Step 6: Final answer
   x = 85,844.18